2. Multiplying Exponents Review Lesson by Jessica Cuellar-Jimenez You can do this ! !

3. 7 4 Base Exponent   The Basics

4. The exponent of a number shows you how many times the base is to be multiplied. 7 = 4 7 * 7 = 2,401

5. Bunnies Reproduce Exponentially

6. Multiplying Exponents a * a = a m n m+n when you have the same base you add the exponents. This is called the PRODUCT OF POWERS PROPERTY

7. 7 * 7 Multiplying exponents 4 2 ( 7 * 7 * 7 * 7)( 7 * 7 ) = 7* 6 long way

8. Multiplying exponents using Product of Powers Property SHORTCUT 7 * 7 42 7 * 7 = 7 = 7 4 2 4 + 2 6

9. You try it now 1) 3 * 3 2) X * X 3) 5 * 5 53 72 -5 8 Negative exponents – do the same thing!

10. Answers 1)3 = 3 2)X = X 3) 5 = 5 5+38 7+29 -5+83

11. Multiplying Exponents (a ) = a m nm*n when you have the same base to multiply a power to a power multiply the exponents. This is called the POWER OF A POWER PROPERTY

12. (8 ) Multiplying exponents with the same base. 4 2 (8)(8) 4 long way 4 =8 * 8 * 8 * 8* 8 * 8 * 8 *8 = 8 How many 8s are you multiplying? 8

13. Multiplying exponents using Power of a Power Property SHORTCUT (8 ) 42 8 4 * 2 = 8 8 multiply them

14. You try it now 1) (3 ) 2) (X ) 3) (5 ) 5 72 -5 8 Negative exponents – do the same thing! 3

15. Answers 1) 3 = 3 2) X = X 3) 5 = 5 5*3 7*2 -5*8 Negative exponents – do the same thing! 15 14 -40

16. ZERO EXPONENT Any number to the power of zero is 1 8 = 1 x = 1 110 = 1 0 0 0 ) 0 = 1 (

17. TAKE NOTE The importance of parenthesis: With ParenthesisWithout Parenthesis (-3) = 1-3 = -1 * 3 -1 * 1 = -1 0 00 ( 9 ) = 1 9 = 1 0 0 (-9) = 1 (-9) = -1 * 9 -1 * 1 = -1 0 00

18. You try it now 1) -3 2) (X ) 3) (5) 70 0 0

19. Answers 1) -3 = -1 * 1 = -1 2) (X ) = 1 3) (-5 ) = 1 70 0 0